20. What is the total cost of a $20 item after adding 5% sales tax?
A. $20.05
B. $21.00
C. $22.50
D. $25.00

Answer:

when x=1

3x+5.=3×1+5=8

when x=0

3x+5.=3×0+5=5

Step-by-step explanation:

when x=-1

3x+5.=3×-1+5=-3+5=2

Step-by-step explanation:

solution

here,

let the value of x be 1, then

3x+5

=3*1+5

=8

let the value of x be 2, then

3x+5

=3*2+5

=6+5

= 11

Answer:

Put a picture of the whole thing

Step-by-step explanation:

Answer:

x = -6; (-6, 0)

y = 4; (0, 4)

Step-by-step explanation:

-2x + 3y = 12

Find x intercept by plugging in y value

-2x + 3(0) = 12

-2x = 12

x = 12 ÷ -2

x = -6

Find y intercept by pluggung in x value

-2(0) + 3y = 12

3y = 12

y = 12 ÷ 3

y = 4

Answer:

y = 10.50x + 7.50

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   Add the two y values  to get the total y for the slope

y2 = 5.50+4 = 9.50  when x=2

y1 = 3.50+ 2.50 = 6  when x =1

m = ( 9.50-6/(2-1)

    3.50/1

  = 3.50

The slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y = 3.50x +b

Using the point ( 1,6)

6 = 3.50(1) + b

6 - 3.50 = 3.50+b-3.50

2.50 =b

y = 3.50x+2.50

We want 3 shipments

Multiply by 3

y = 10.50x + 7.50

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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By the Pythagorean theorem,

\(\sin^2 t +\cos^2 t = 1 \\ \\ \sin^2 t +(-3/4)^2 = 1 \\ \\ \sin^2 t =7/16 \\ \\ \sin t=-\frac{\sqrt{7}}{4}\)

(I took the negative case because of the range of values of t)

Using the cosine double angle formula,

\(\cos 2t=2\cos^2 t -1 =2(-3/4)^2 - 1 =1/8\)

Using the sine double angle formula,

\(\sin 2t=2\left(-\frac{3}{4} \right)\left(-\frac{\sqrt{7}}{4} \right)=\frac{3\sqrt{7}}{8}\)

Using the cosine half-angle formula,

\(\cos \frac{t}{2}= -\frac{\sqrt{1+\cos A}}{2}=-\frac{\sqrt{1+\frac{3\sqrt{7}}{8}}}{2}\)

(I took the negative case because of the range of values of t)

Using the sine half-angle formula,

\(\sin \frac{t}{2}=\frac{\sqrt{1-\cos A}}{2}=\frac{\sqrt{1-\frac{3\sqrt{7}}{8}}}{2}\)

(I took the positive case because of the range of values of t)

Answer:

76

Step-by-step explanation:

j and k are the same size and every triangle equals 180

64+64=128

180-128=52

L=52

l and m are the same

52+52=104

180-104= 76

n=76

In the sequence, the value of y is 12 while the value of x is 8.

An equation is used to show the relationship between two or more variables.

The last three terms x, y, 18 form a geometric progression, hence:

r (common ratio) = y/x = 18/y

y²/18 = x    (1)

Also, the first 3 terms 4, x, y form an arithmetic progression, hence:

common difference (d) = x - 4 = y - x

x - 4 = y - x

2x - y - 4 = 0

2(y²/18) - y - 4 = 0

y = 12

x = (12)²/18 = 8

In the sequence, the value of y is 12 while the value of x is 8.

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The value of x and y are 8 and 12 respectively.

The value of T₁₅ of the geometric progression is 1167.7

The first 3 terms forms arithmetic progression.

Using Arithmetic progression formula

AP formula

where

a = first term

d = common difference

n= number of term

let's find the third term

y = 4 +(3 - 1)(x-4)

y = 4 + 2(x - 4)

y = 4 + 2x - 8

y - 2x = -4

y = 2x - 4

The last three terms are geometric progression. Therefore,

where

a = first term

r = common ratio

Therefore,

a = x

r = 18 / y

18 = x(18 / y)²

18 = 324x / y²

18y² = 324x

x = 18y² / 324

x = y² / 18

let's combine the equations

y = 2(y² / 18) - 4

y = y² / 9 - 4

y - y² / 9 = -4

9y - y²/9 = -4

-y² + 9y = -36

y² - 9y - 36 = 0

y² + 3y - 12y - 36 = 0

(y - 12)(y + 3)

y = 12 or  - 3

x = 12² / 18 = 144 / 18 = 8

Finally, lets find the 15th term of the geometric progression

a₁₅ = ar¹⁵⁻¹

a₁₅ = 4 × (12 / 8)¹⁴

a₁₅ = 4 × (3 / 2)¹⁴

a₁₅ = 4 × 291.929260254

a₁₅ = 1167.71704102

a₁₅ = 1167.72

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The required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

Theatre company must cast 3 girls.
And has 25 resumes girls who wish audition.

permutation can be defined as study of combinations.

In the question we are asked to calculate the number of girls left after the director chooses.
At first director chooses 3 from 25.
At second director chooses 3 from 22.
At third director chooses 3 from 19.

Thus, the required  blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

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Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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The sinusoidal function have the following features:

Amplitude: 1

Period: 2π

Frequency: ω = 2π / 2π = 1

Herein we find an example of a sinusoidal function, whose definition is shown below:

f(x) = A · sin (2π · x / T + Φ) + x'

Where:

The frequency (ω) is equal to the following formula:

ω = 2π / T

If we know that the sinusoidal function f(x) = sin (x + π / 2) - 2, then the amplitude, the period and the frequency, that is, the features of the sinusoidal function, are, respectively:

Amplitude: 1

Period: 2π

Frequency: ω = 2π / 2π = 1

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Answer:

if I remember I did this two days ago its was c

a) Both events occur: A ∩ B

b) At least one event occurs: A ∪ B

c) Neither event occurs: A' ∩ B'

d) Exactly one event occurs: (A ∩ B') ∪ (A' ∩ B)

In Event A and B, the intersection A ∩ B tells us the outcome where both events occur. The Union of A and B tells us the outcome where at least one event occurs. The intersection of the complements of A and B (A' ∩ B') tells us the outcome where neither event occurs.

Finally, the union of the intersection of A and the complement of B and the intersection of the complement of A and B ( (A ∩ B') ∪ (A' ∩ B) ) tells us the outcome where exactly one event occurs.

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Consider the given radical,

Factorize the number,

Consider the following properties,

Then the radical can be simplified as,

Thus, the radical is simplified as,

Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

Answer:

3 blue squares and 6 white squares

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

The answer is 3 to 6.

3 to 6 can be represented by 3 blue squares and 6 white squares.

Answer:

It is the last one. Hope this helps (:

Step-by-step explanation:

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let the coordinate Z is (-3, -7)

Under a clockwise rotation about the origin of  90 degrees

A coordinate ( x, y ) → ( y, - x ),

The coordinate Z is (-3, -7) and is translated using the rule

Then simply plug in the values of x and y which are x = -3 and y = -7

Thus ( -3, - 7 ) → (- 7, 3 )

This is the new coordinate for Z  (- 7, 3 )

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Answer:

the answer is b- 1440

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

Answer:

The correct answer will be X = 4

Step-by-step explanation:

Using Pythagoras

AB^2 + BC^2 = AC^2

2^2 + (2√3)^2 = AC^2

4 + (4*3) = AC^2

4+12 = AC ^ 2

AC ^2 = 16

AC = √16 = 4

Answer:- 4

Step-by-step explanation:

given that y = f(4)

therefore x = 4

therefore y=4

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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If a certain blood test is 99.5% effective at detecting Foreign Bloodborne Pathogens:

a. The probability that both tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.990.

b. The probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.951.

c.  The probability that at least one test fails to detect a Foreign Bloodborne Pathogen is 0.993.

The probability that the blood test correctly detects a Foreign Bloodborne Pathogen is 0.995, and the probability that it fails to detect a Foreign Bloodborne Pathogen is 0.005.

1. Probability that both tests correctly detect a Foreign Bloodborne Pathogen:

The probability of both tests correctly detecting the pathogen is the product of the probability of the first test correctly detecting the pathogen and the probability of the second test correctly detecting the pathogen. Since the two tests are independent, we can multiply the probabilities. Therefore, the probability of both tests correctly detecting the pathogen is:

0.995 x 0.995 = 0.990025

So, the probability that both tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.990.

2 Probability that all ten tests correctly detect a Foreign Bloodborne Pathogen:

The probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is the product of the probabilities of each individual test correctly detecting the pathogen, since each test is independent. Therefore, the probability of all ten tests correctly detecting the pathogen is:

0.995^10 ≈ 0.951

So, the probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.951.

3. Probability that at least one test fails to detect a Foreign Bloodborne Pathogen:

The probability that at least one test fails to detect a Foreign Bloodborne Pathogen is the complement of the probability that all 1,000 tests correctly detect the pathogen. Therefore, the probability that at least one test fails to detect a Foreign Bloodborne Pathogen is:

1 - 0.995^1000 ≈ 0.993

So, the probability that at least one test fails to detect a Foreign Bloodborne Pathogen is approximately 0.993.

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Answer:

1/1000 or 0.001.

Step-by-step explanation:

10 ^-3

= 1/10^3

= 1/1000.

Answer:

Based on the given conditions, formulate:

238

−

144

Calculate the sum or difference:

94

get the result:

94

Answer: Step-by-step explanation:

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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